Type II Balanced Truncation for Deterministic Bilinear Control Systems [PDF]
When solving partial differential equations numerically, usually a high order spatial discretisation is needed. Model order reduction (MOR) techniques are often used to reduce the order of spatially-discretised systems and hence reduce computational ...
Martin Redmann
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Linear predictive coding electroencephalography algorithms predict mortality in Parkinson’s disease [PDF]
Background: Mortality is increased in Parkinson’s disease (PD) and is difficult to predict because of its heterogeneity and the availability of few reliable prognostic markers.
Simin Jamshidi +6 more
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High fidelity adaptive mirror simulations with reduced order models [PDF]
In the design process of large adaptive mirrors numerical simulations represent the first step to evaluate the system design compliance in terms of performance, stability and robustness.
Bernadett Stadler +5 more
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btSLS - Balanced truncation for switched linear systems
A MATLAB implementation of Balanced truncation for switched systems with known switching ...
Md. Sumon Hossain, Stephan Trenn
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Keyword-optimized template insertion for clinical note classification via prompt-based learning [PDF]
Background Prompt-based learning involves the additions of prompts (i.e., templates) to the input of pre-trained large language models (PLMs) to adapt them to specific tasks with minimal training.
Eugenia Alleva +5 more
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Optimized PID controller and model order reduction of reheated turbine for load frequency control using teaching learning-based optimization [PDF]
Load frequency control (LFC) systems in power grids face challenges in maintaining stability while managing computational complexity. This research presents an optimized approach combining model order reduction techniques with Teaching Learning-Based ...
Anurag Singh +4 more
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Balanced truncation with conformal maps
We consider the problem of constructing reduced models for large scale systems with poles in general domains in the complex plane (as opposed to, e.g., the open left-half plane or the open unit disk). Our goal is to design a model reduction scheme, building upon theoretically established methodologies, yet encompassing this new class of models. To this
Alessandro Borghi +2 more
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Balanced Truncation of $k$-Positive Systems [PDF]
This paper considers balanced truncation of discrete-time Hankel $k$-positive systems, characterized by Hankel matrices whose minors up to order $k$ are nonnegative. Our main result shows that if the truncated system has order $k$ or less, then it is Hankel totally positive ($\infty$-positive), meaning that it is a sum of first order lags.
Christian Grussler +2 more
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Symmetric Positivity Preserving Balanced Truncation [PDF]
AbstractWe consider positivity preserving model order reduction of SISO linear systems. Whereas well‐established model reduction methods usually do not result in a positive approximation, we show that a symmetry characterization of balanced truncation can be used to preserve positivity after performing balanced truncation.
Christian Grußler, Tobias Damm
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New Schemes for Positive Real Truncation [PDF]
Model reduction, based on balanced truncation, of stable and of positive real systems are considered. An overview over some of the already existing techniques are given: Lyapunov balancing and stochastic balancing, which includes Riccati balancing.
Kari Unneland +2 more
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